896832 has 70 divisors (see below), whose sum is σ = 2673858. Its totient is φ = 297216.

The previous prime is 896803. The next prime is 896837. The reversal of 896832 is 238698.

896832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 20736 = 936^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896837) by changing a digit.

896832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5098 + ... + 5270.

2⁸⁹⁶⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336929).

896832 is an abundant number, since it is smaller than the sum of its proper divisors (1777026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

896832 is a wasteful number, since it uses less digits than its factorization.

896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 896832 is about 947.0121435335. The cubic root of 896832 is about 96.4355211922.

Subtracting from 896832 its product of digits (20736), we obtain a square (876096 = 936²).

It can be divided in two parts, 896 and 832, that added together give a cube (1728 = 12³).

The spelling of 896832 in words is "eight hundred ninety-six thousand, eight hundred thirty-two".